A third‐order point process characteristic for multi‐type point processes

Carlos Comas, Jorge Mateu and Aila Särkkä

Statistica Neerlandica, 2010, vol. 64, issue 1, 19-44

Abstract: The description and analysis of spatial point patterns have mainly been based on first‐ and second‐order characteristics. However, and especially when analyzing complex and multivariate point patterns, the use of higher‐order characteristics would be more informative. In this paper, we introduce a third‐order characteristic for multi‐type point processes, which is based on the number of r‐close triples of points, where the three points are of three different types (species). This characteristic is useful, when the second‐order characteristics indicate that the three point patterns are pairwise uncorrelated but there is some relationship between triples of points. Furthermore, we conjecture that the new statistic can be used to test independence between the three point processes.

Date: 2010
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1111/j.1467-9574.2009.00437.x

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:stanee:v:64:y:2010:i:1:p:19-44

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0039-0402

Access Statistics for this article

Statistica Neerlandica is currently edited by Miroslav Ristic, Marijtje van Duijn and Nan van Geloven

More articles in Statistica Neerlandica from Netherlands Society for Statistics and Operations Research
Bibliographic data for series maintained by Wiley Content Delivery ().